Weak Preservation of Multi-Valued Fusion

DOI

10.2991/eusflat.2013.78How to use a DOI?

Keywords

Fusion Multiset Preservation

Abstract

Fusion functions are important data integration tools that map a multiset of objects (i.e., the sources) onto a single object (i.e., the solution). Traditionally, it is assumed that the objects of interest are single-valued. In this paper, it will be assumed that each object has a multi-valued data structure, leading to a framework of second order fusion functions. An important class of such functions is called preservative and is characterized by the fact that one of the input objects is returned. A disadvantage of these functions is the a-priori limitation of the output space to the input objects. It is investigated here how this disadvantage can be mitigated by studying the principle of weak-preservation. The main idea is hereby that, instead of preserving one of the sources, a characteristic feature of one of the sources is preserved. Three such features will be studied: cardinality, $k$-cut and multiplicity distribution. It will then be shown how weak-preservation can be utilized in the design of second order fusion functions.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Antoon Bronselaer
AU  - Guy De Tre
PY  - 2013/08
DA  - 2013/08
TI  - Weak Preservation of Multi-Valued Fusion
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 554
EP  - 560
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.78
DO  - 10.2991/eusflat.2013.78
ID  - Bronselaer2013/08
ER  -